The cash-rich French club went on a spending spree in the most recent transfer window and bolstered its squad with the likes of Zlatan Ibrahimovic and Thiago Silva.
The right back, 29, has refused to rule out a future move to Parc des Princes but insists it would depend on no longer being wanted at Camp Nou.
“It is true that PSG has called many people and built a beautiful project,” he told RMC on Thursday.
“This summer, they spoke to my representatives and consulted to see if they could do a transfer.
“But the possibility was very low because my price was very high and suddenly they turned to other players.
“As to whether I could play in Paris, you never know what the future holds, and I don't have to close doors. If one day, Barca does not want me anymore [then who knows].”
- Zlatan Ibrahimovic